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\left(4x^{2}+12x+x+3\right)\left(5x-1\right)
Apply the distributive property by multiplying each term of 4x+1 by each term of x+3.
\left(4x^{2}+13x+3\right)\left(5x-1\right)
Combine 12x and x to get 13x.
20x^{3}-4x^{2}+65x^{2}-13x+15x-3
Apply the distributive property by multiplying each term of 4x^{2}+13x+3 by each term of 5x-1.
20x^{3}+61x^{2}-13x+15x-3
Combine -4x^{2} and 65x^{2} to get 61x^{2}.
20x^{3}+61x^{2}+2x-3
Combine -13x and 15x to get 2x.
\left(4x^{2}+12x+x+3\right)\left(5x-1\right)
Apply the distributive property by multiplying each term of 4x+1 by each term of x+3.
\left(4x^{2}+13x+3\right)\left(5x-1\right)
Combine 12x and x to get 13x.
20x^{3}-4x^{2}+65x^{2}-13x+15x-3
Apply the distributive property by multiplying each term of 4x^{2}+13x+3 by each term of 5x-1.
20x^{3}+61x^{2}-13x+15x-3
Combine -4x^{2} and 65x^{2} to get 61x^{2}.
20x^{3}+61x^{2}+2x-3
Combine -13x and 15x to get 2x.